Preheat the oven to 350°F (175°C) and line baking sheets with parchment paper.
In a bowl, whisk together flour, baking soda, baking powder, and salt. Set aside.
In a large mixing bowl, cream together butter, peanut butter, granulated sugar, and brown sugar until light and fluffy.
Add egg and vanilla extract, mixing until fully incorporated.
Fold in the dry ingredients until a soft dough forms.
Gently stir in chopped Oreos and chocolate chips, being careful not to crush the cookies too much.
Chill the dough for 20 minutes if it’s very soft.
Scoop 1½ tablespoon portions of dough onto prepared baking sheets, spacing 2 inches apart.
Bake for 9–11 minutes, until edges are set and centers look slightly soft.
Cool on the baking sheet for 5 minutes, then transfer to a wire rack to cool completely.